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Finding the Fourth Proportional to 9,545, 13,173.54 and 5,821.16

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Solution

The fourth proportional to 9,545, 13,173.54 and 5,821.16 is: 8,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,545 : 13,173.54 = 5,821.16 : x
  2. Step 2: Convert to fraction form
    9,545/13,173.54 = 5,821.16/x
  3. Step 3: Cross multiply
    9,545x = 13,173.54 × 5,821.16
  4. Step 4: Simplify right side
    9,545x = 76,685,284.11
  5. Step 5: Solve for x
    x = 76,685,284.11/9,545
  6. Step 6: Final answer
    x = 8,034.08

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.